Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
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1597 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6577 | 0.8109 | 0.8111 | [X:[1.3529], M:[1.0392, 1.098, 1.1569, 0.9608, 0.6471, 0.8431, 0.7059], q:[0.7745, 0.3823], qb:[0.5784, 0.4608], phi:[0.451]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [12]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{7}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.118 + t^2.529 + t^2.882 + t^3.118 + t^3.294 + t^3.471 + t^3.647 + t^3.706 + t^4.059 + t^4.118 + 2*t^4.235 + t^4.471 + t^4.647 + t^4.823 + t^5. + t^5.059 + t^5.235 + t^5.412 + t^5.588 + t^5.765 + 2*t^5.824 - t^6. + 2*t^6.176 + 2*t^6.235 + 2*t^6.353 + t^6.529 + 2*t^6.588 + t^6.647 + t^6.765 + t^6.824 + 2*t^6.941 + t^7. + 2*t^7.118 + t^7.177 + t^7.236 + t^7.294 + 2*t^7.353 + t^7.412 + 2*t^7.529 + t^7.588 + 2*t^7.706 + t^7.765 + t^7.824 + 2*t^7.882 + 2*t^7.941 - t^8.118 + t^8.177 + t^8.236 + 2*t^8.294 + 2*t^8.353 + 3*t^8.47 - t^8.529 + t^8.588 + t^8.647 + t^8.706 + t^8.765 - t^8.882 + t^8.941 - t^4.353/y - t^6.471/y + t^7.647/y + t^8./y + (2*t^8.235)/y + (2*t^8.412)/y + t^8.647/y + t^8.765/y + (2*t^8.824)/y - t^4.353*y - t^6.471*y + t^7.647*y + t^8.*y + 2*t^8.235*y + 2*t^8.412*y + t^8.647*y + t^8.765*y + 2*t^8.824*y | g1^12*t^2.118 + t^2.529/g1^14 + g1^22*t^2.882 + t^3.118/g1^22 + t^3.294/g1^4 + g1^14*t^3.471 + g1^32*t^3.647 + t^3.706/g1^30 + g1^6*t^4.059 + t^4.118/g1^56 + 2*g1^24*t^4.235 + t^4.471/g1^20 + t^4.647/g1^2 + g1^16*t^4.823 + g1^34*t^5. + t^5.059/g1^28 + t^5.235/g1^10 + g1^8*t^5.412 + g1^26*t^5.588 + g1^44*t^5.765 + (2*t^5.824)/g1^18 - t^6. + 2*g1^18*t^6.176 + (2*t^6.235)/g1^44 + 2*g1^36*t^6.353 + g1^54*t^6.529 + (2*t^6.588)/g1^8 + t^6.647/g1^70 + g1^10*t^6.765 + t^6.824/g1^52 + 2*g1^28*t^6.941 + t^7./g1^34 + 2*g1^46*t^7.118 + t^7.177/g1^16 + t^7.236/g1^78 + g1^64*t^7.294 + 2*g1^2*t^7.353 + t^7.412/g1^60 + 2*g1^20*t^7.529 + t^7.588/g1^42 + 2*g1^38*t^7.706 + t^7.765/g1^24 + t^7.824/g1^86 + 2*g1^56*t^7.882 + (2*t^7.941)/g1^6 - g1^12*t^8.118 + t^8.177/g1^50 + t^8.236/g1^112 + 2*g1^30*t^8.294 + (2*t^8.353)/g1^32 + 3*g1^48*t^8.47 - t^8.529/g1^14 + t^8.588/g1^76 + g1^66*t^8.647 + g1^4*t^8.706 + t^8.765/g1^58 - g1^22*t^8.882 + t^8.941/g1^40 - (g1^2*t^4.353)/y - (g1^14*t^6.471)/y + t^7.647/(g1^2*y) + (g1^34*t^8.)/y + (2*t^8.235)/(g1^10*y) + (2*g1^8*t^8.412)/y + t^8.647/(g1^36*y) + (g1^44*t^8.765)/y + (2*t^8.824)/(g1^18*y) - g1^2*t^4.353*y - g1^14*t^6.471*y + (t^7.647*y)/g1^2 + g1^34*t^8.*y + (2*t^8.235*y)/g1^10 + 2*g1^8*t^8.412*y + (t^8.647*y)/g1^36 + g1^44*t^8.765*y + (2*t^8.824*y)/g1^18 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
3985 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$ | 0.655 | 0.8071 | 0.8115 | [X:[1.3586], M:[1.0185, 1.0943, 1.17, 0.9815, 0.6414, 0.83, 0.7172, 1.0185], q:[0.7736, 0.3965], qb:[0.585, 0.4335], phi:[0.4529]] | t^2.152 + t^2.49 + 2*t^3.055 + t^3.283 + t^3.51 + t^3.621 + t^3.737 + t^3.959 + t^4.076 + 2*t^4.303 + t^4.414 + t^4.641 + t^4.869 + t^4.98 + 2*t^5.207 + t^5.545 + t^5.662 + 2*t^5.773 - 2*t^6. - t^4.359/y - t^4.359*y | detail | |
3986 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6765 | 0.8454 | 0.8002 | [X:[1.3496], M:[1.0516, 1.1003, 1.149, 0.9484, 0.6504, 0.851, 0.6991, 0.7478], q:[0.7751, 0.3739], qb:[0.5745, 0.4772], phi:[0.4499]] | t^2.097 + t^2.243 + t^2.553 + t^2.845 + t^3.155 + t^3.301 + t^3.447 + t^3.593 + t^4.049 + 2*t^4.195 + t^4.213 + t^4.341 + t^4.487 + t^4.504 + t^4.65 + 2*t^4.796 + t^4.942 + t^5.088 + t^5.106 + t^5.252 + 2*t^5.398 + 2*t^5.544 + 2*t^5.69 + t^5.836 + t^5.854 - t^6. - t^4.35/y - t^4.35*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
1025 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ | 0.6373 | 0.7722 | 0.8253 | [X:[1.3537], M:[1.0366, 1.0976, 1.1585, 0.9634, 0.6463, 0.8415], q:[0.7744, 0.3841], qb:[0.5793, 0.4573], phi:[0.4512]] | t^2.524 + t^2.89 + t^3.11 + t^3.293 + t^3.476 + t^3.658 + t^3.695 + t^3.878 + t^4.061 + t^4.098 + t^4.244 + t^4.463 + t^4.829 + t^5.049 + t^5.817 - t^6. - t^4.354/y - t^4.354*y | detail |